Jesús Garcia Falset

Profesor del Departamento de Análisis Matemático de la Universitat de València.

Dirección/Address:

Edificio de Investigación, despacho 3.15

Dr. Moliner 50

46100 Burjassot

Spain

Docencia    Publications    Conferences    Other Links     workshop

Docencia

Teaching Experience

Undergraduate Courses:

Calculus,

Complex Analysis,

Functional Analysis,

Differential equations

Nonlinear functional Analysis.

Graduate Courses

Nonlinear Functional Analysis,

Theory of Accretive operators,

Variational methods

Fixed point theory.

• Apuntes de matemáticas para químicas (click)
• Apuntes de análisis no lineal (click)
• Apuntes Análisis Vectorial (click)
• Apunts integració (click)
  

1. J. GARCIA FALSET, E. LLORENS FUSTER , A SUFFICIENT CONDITION FOR THE FIXED POINT PROPERTY IN BANACH SPACES, EXTRACTA MATHEMATICAE(1990).

2. J. GARCIA-FALSET,  BASIS AND FIXED POINT FOR NONEXPANSIVE MAPPINGS,  RADOVI MATEMATICK   8   67 - 75  (1992)          
   
3.  J. GARCIA-FALSET , E. LLORENS-FUSTER,  A GEOMETRIC PROPERTY OF BANACH SPACES RELATED TO THE FIXED POINT PROPERTY.   J. MATH. ANAL. APPL. 172   39 -52(1993)
4.  J. GARCIA-FALSET ,  THE FIXED POINT PROPERTY IN BANACH SPACES WHOSE CHARACTERISTIC OF UNIFORM CONVEXITY IS LESS THAN 2. J. AUSTRAL. MATH. SOC54  169 – 173 (1993)
5. J. GARCIA-FALSET, A. JIMÉNEZ-MELADO, E. LLORENS-FUSTER ,  MEASURES OF NONCOMPACTNESS AND NORMAL STRUCTURE IN BANACH SPACES ,  STUDIA MATH. 110      1 – 8  (1994)      
6. J. GARCIA-FALSET,  STABILITY AND FIXED POINTS FOR NONEXPANSIVE MAPPINGS HOUSTON J. MATH.   20   495-506  (1994) (CLICK)
7. J. GARCIA-FALSET. , FIXED POINT PROPERTY IN BANACH LATTICES WITH BANACH-SAKS PROPERTY, NONLINEAR ANAL. THEORY, METH. APPL.  9  1097-1103 (1994)
8.  J. GARCIA-FALSET,  E. LLORENS-FUSTER. , NORMAL STRUCTURE AND FIXED POINT PROPERTY,  GLASGOW  MATH. J. 38          29 -37   (1996)
9.  J. GARCIA-FALSET, B.SIMS, M. SMYTH ,  THE DEMICLOSEDNESS PRINCIPLE FOR MAPPINGS ASYMPTOTICALLY NONEXPANSIVE TYPE,  HOUSTON  MATH. J. 22       101-108    (1996)
10. J. GARCIA-FALSET, A. JIMÉNEZ-MELADO, E. LLORENS-FUSTER , ISOMORPHICALLY EXPANSIVE MAPPING IN l2. , PROC. AMER. MATH. SOC. 125   2633-2636       ( 1997)
11. J. GARCIA-FALSET,  B. SIMS,  PROPERTY (M) AND THE WEAK FIXED POINT PROPERTY, PROC. AMER. MATH. SOC. 125    2891- 2897        (1997)
12. J. GARCIA-FALSET, E. LLORENS-FUSTER , B. SIMS,  FIXED POINT THEORY FOR ALMOST CONVEX FUNCTIONS ,  NONLINEAR ANAL. THEORY, METH. APPL. 32 601-608 ( 1998)
13. J. GARCIA-FALSET, E. LLORENS-FUSTER , B. SIMS,  FIXED POINT THEORY FOR ALMOST CONVEX FUNCTIONS ,  NONLINEAR ANAL. THEORY, METH. APPL. 32 601-608 ( 1998)
14.  J. GARCIA-FALSET, THE FIXED POINT PROPERTY IN BANACH SPACES WITH THE NUS-PROPERTY, J. MATH. ANAL. APPL.  215       532 -542          (1997)
15. T. DOMÍNGUEZ-BENAVIDES, J. GARCIA-FALSET, M. JAPÓN-PINEDA ,  THE $\TAU$-FIXED POINT PROPERTY FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES, J. ABST. ANAL. APPL.  3 343- 362  (1998)
16.   J. GARCIA-FALSET, J. KACZOR, T. KUCZUMOW, S. REICH.,  WEAK CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND SEMIGROUPS, NONLINEAR ANALYSIS  43    377-401      (2001)
17.  J. GARCIA-FALSET, E. LLORENS-FUSTER, E. M. MAZCUÑAN-NAVARRO,  THE FIXED POINT PROPERTY AND NORMAL STRUCTURE FOR SOME B-CONVEX SPACES. , BULL. AUSTRAL. MATH. SOC.  63  75 -81   (2001)
18. J. GARCIA-FALSET, FIXED POINTS FOR MAPPINGS WITH THE RANGE TYPE CONDITION, HOUSTON J. MATH.  28   143- 158  (2002)
19. J. GARCIA-FALSET, E.LLORENS-FUSTER, E.M. MAZCUÑAN-NAVARRO ,  BANACH SPACES WHICH ARE R-UNIFORMLY NONCREASY ,  NONLINEAR ANALYSIS   53    957-975 ( 2003)
20. H. FETTER, B. GAMBOA, J. GARCIA FALSET ,  BANACH SPACES WHICH ARE SOMEWHAT UNIFORMLY NONCREASY , J. MATH. ANAL. APPL.  285(2)       444-455          (2003)
21.  J. GARCIA FALSET, C.H. MORALES , EXISTENCE THEOREMS FOR M-ACCRETIVE OPERATORS IN BANACH SPACES , J.  MATH. ANAL. APPL..  309   453-461      (2005)
22. J. GARCIA FALSET , THE ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF THE CAUCHY PROBLEM GENERATED BY $\phi$-ACCRETIVE OPERATORS., J. MATH. ANAL. APPL.  310    594-608   (2005) (CLICK)
23.  J. GARCIA FALSET, S. REICH ,  ZEROES PF ACCRETIVE OPERATORS AND ASYMPTOTIC BEHAVIOR OF NONLINEAR SEMIGROUPS.,   HOUSTON J. MATH. 32(4)  1197-1225  (2006) (CLICK)
24.  J. GARCIA FALSET, E. LLORENS FUSTER, E.M. MAZCUÑAN NAVARRO ,  UNIFORMLY NONSQUARE BANACH SPACES HAVE THE FIXED POINT PROPERTY FOR NONEXPANSIVE MAPPINGS., JOURNAL OF FUNCTIONAL ANALYSIS 233      494-514( 2006)
25.  J. GARCIA FALSET, E. LLORENS FUSTER, S. PRUS ,  THE FIXED POINT PROPERTY FOR MAPPINGS ADMITTING A CENTER , NONLINEAR ANALYSIS 66     1257-1274 (2007)
26. J. GARCIA FALSET , EXISTENCE RESULTS AND ASYMPTOTIC BEHAVIOR FOR NONLOCAL ABSTRACT CAUCHY PROBLEMS,  J. MATH. ANAL. APPL. 338   639-652    (2008)
27. J. GARCIA FALSET , EXISTENCE OF FIXED POINTS FOR THE SUM OF TWO OPERATORS,  MATH. NACHR.  283 (12) 1736-1757 (2010).
28. T. DOMÍNGUEZ BENEVIDES, J. GARCIA FALSET, E. LLORENS FUSTER, P. LORENZO RAMÍREZ , FIXED POINT PROPERTIES AND PROXIMINALITY IN BANCH SPACES,  NONLINEAR ANALYSIS   71, 1562-15871 (2009).
29.  J. GARCIA FALSET, EXISTENCE OF FIXED POINTS AND MEASURES OF  WEAK NONCOMPACTNESS,  NONLINEAR ANALYSIS. 71,   2625-2633 ( 2009).
30.  J. GARCIA FALSET, E. LLORENS FUSTER, FIXED POINTS FOR  PSEUDOCONTRACTIVE MAPPINGS ON UNBOUNDED DOMAINS,  FIXED POINT THEORY AND APPLICATIONS (2010) Aticle ID 769858, 17 pages, doi: 10.1155/2010/769858  (CLICK)
31.  J. GARCIA FALSET, L. GURAN, E. LLORENS-FUSTER, FIXED POINT FOR MULTIVALUED CONTRACTIONS WITH RESPECT TO A w-DISTANCE, SCIENTIAE MATHEMATICAE JAPONICAE. e-2009    611    -619 ( 2009).
32. J. GARCIA FALSET, S. REICH, INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS, COMMUNICATIONS IN CONTEMPORARY MATH.  12 (6) 1031-1054 (2010),
33. J. GARCIA-FALSET, E. LLORENS FUSTER, T. SUZUKI, FIXED POINT THEORY FOR A CLASS OF GENERALIZED NONEXPANSIVE MAPPINGS. J, MATH. ANAL. APPL. 375 185-195 (2011),
34. J. GARCIA-FALSET, WELL-POSEDNESS OF A NONLINEAR EVOLUTION EQUATION ARISING IN GROWING CELL POPULATION. MATH. METH. APPL. SCI. 34, 1658-1666 (2011). (CLICK)
35. A. BEN AMAR, J. GARCIA FALSET, FIXED POINT THEOREMS FOR 1-SET WEAKLY CONTRACTIVE AND PSEUDOCONTRACTIVE OPERATORS ON AN UNBOUNDED DOMAIN. PORTUGAL. MATH. 68 (2), 125-147 (2011).
36. J. GARCIA-FALSET, K. LATRACH, KRASNOSELSKII-TYPE FIXED POINT THEOREMS FOR WEAKLY SEQUENTIALLY CONTINUOUS MAPPINGS. BULL. LONDON MATH. SOC. 44, (2012) 25-38. (CLICK)
37. J. GARCIA-FALSET, K. LATRACH, E. MORENO-GÁLVEZ AND M-A. TAOUDI, SCHAEFER-KRASNOSELSKII FIXED POINT THEOREMS USING A USUAL MEASURE OF WEAK NONCOMPACTNESS. J. DIFFERENTIAL EQUATIONS 252 (2012), 3436-3452.  (CLICK)
38. J. GARCIA-FALSET, E. LLORENS-FUSTER, E. MORENO-GALVEZ, FIXED POINT THEORY FOR MULTIVALUED GENERALIZED NONEXPANSIVE MAPPINGS, APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 6 (2012), 265-286 (CLICK)
39. J. GARCIA-FALSET, O. MUÑIZ-PÉREZ, FIXED POINT THEORY FOR 1-SET CONTRACTIVE AND PSEUDOCONTRACTIVE MAPPINGS,  APPLIED MATHEMATICS AND COMPUTATION 219 (2013), 6843-6855. (CLICK)
40. J. GARCIA-FALSET, LIMITED DATA X-RAY TOMOGRAPHY USING ACCRETIVE OPERATORS, ARAB. J. MATH. 1 (2012), 465-476 (CLICK)
41. J. GARCIA-FALSET,  K. LATRACH, A. ZEGHAL, EXISTENCE AND UNIQUENESS RESULTS FOR A NONLINEAR EVOLUTION EQUATION ARISING IN GROWING CELL POPULATION , NONLINEAR ANALYSIS (2014), 210-227
42. J. GARCIA-FALSET, O. MUÑIZ-PÉREZ, PROJECTED DYNAMICAL SYSTEMS ON HILBERT SPACES,  JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 15(2), (2014), 325-344
43. D. ARIZA-RUIZ, J. GARCIA-FALSET, ITERATIVE APPROXIMATION TO A COINCIDENCE POINT OF TWO MAPPINGS,  APPL. MATH. COMP.,  259 (2015), 762-776
44. D. ARIZA-RUIZ, J. GARCIA-FALSET, KISHIN SARADANGANI, WARDOWSKI CONDITIONS TO THE COINCIDENCE PROBLEM, FRONT. APPL. MATH. STAT.(2015),  1-9 DOI: 10.3389/FAMS.2015.00009 (CLICK)
45. J. GARCIA-FALSET, C.A. HERNÁNDEZ-LINARES, O. MLESNITE; THE LERAY-SCHAUDER CONDITION IN THE COINCIDENCE PROBLEM, J. NONLINEAR AND CONVEX ANALYSIS 16(Nº 9) (2015), 1905-1924.
    
46. D. ARIZA-RUIZ, J. GARCIA-FALSET, EXISTENCE AND UNIQUENESS OF SOLUTION TO SEVERAL KINDS OF DIFFERENTIAL EQUATIONS USING THE COINCIDENCE THEORY, TAIWANESE JOURNAL OF MATH. 19 (6) (2015),1661-1692.
    
47. J. GARCIA-FALSET, K. LATRACH, ON DARBO-SADOSKII'S FIXED POINT THEOREMS TYPE FOR ABSTRACT MEASURES OF (WEAK) NONCOMPACTNESS, BULL. BELG. MATH. SOC. SIMON STEVIN 22 (2015), 797-812.
    
48. J. GARCIA-FALSET, E. LLORENS-FUSTER, G. MARINO AND A. RUGIANO, ON STRONG CONVERGENCE OF HALPERN'S METHOD FOR QUASI-NONEXPANSIVE MAPPINGS IN HILBERT SPACES, MATH. MODELL. AND ANAL. 21 (1) (2016), 63-82.
49. J. GARCIA-FALSET, E. LLORENS-FUSTER, DIAMETRALLY CONTRACTIVE MAPPINGS WITH RESPECT TO A w-DISTANCE, J. NONLINEAR AND CONVEX ANALYSIS, 17 (10), (2016), 1975-1984.